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Czechoslovak Mathematical Journal, Vol. 69, No. 3, pp. 801-810, 2019

Generalized tilting modules over ring extension

Zhen Zhang

Received November 8, 2017.   Published online February 15, 2019.
Abstract:  Let $ \Gamma$ be a ring extension of $R$. We show the left $\Gamma$-module $U=\Gammaøtimes_RC$ with the endmorphism ring End${}_{\Gamma}U=\Delta$ is a generalized tilting module when ${}_RC$ is a generalized tilting module under some conditions.
Keywords:  ring extension; generalized tilting module; faithfully balanced bimodule
Classification MSC:  13D02; 13D07; 13D05
DOI:  10.21136/CMJ.2019.0512-17
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Affiliations:   Zhen Zhang, Department of Mathematics, Qilu Normal University, Jinan 250200, P. R. China, e-mail: 157642043@qq.com
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